Yeah. The gap is very small, but I can feel it easily when touching the screen, that there is a slight travel between the protector and the screen.
I don't really worry about scratches, but cracks in the glass worries me more. I've even read horror stories where people are saying that the screen cracked by itself overnight etc. I also saw a video on YouTube where someone described that his phone cracked by itself, and the comment section was full of people with the same issue.